A city manager is considering three strategies for a $1,000 investment. The probable returns are estimated as follows: • Strategy 1: A profit of $5, 000 with a probability of 0.20 and a loss of $1, 000 with a probability of 0.80. • Strategy 2: A profit of $2, 000 with a probability of 0.40, a profit of $500 with a probability of 0.30 and a loss of $1, 000 with a probability of 0.30. • Strategy 3: A certain profit of $400. (a) Which strategy has the highest expected profit? (b) If the city manager is going to pick only 1 strategy, which of the three strategies would you definitely advise against? Provide specific (numeric) details to support your answer.
A city manager is considering three strategies for a $1,000 investment. The probable returns are estimated as follows: • Strategy 1: A profit of $5, 000 with a probability of 0.20 and a loss of $1, 000 with a probability of 0.80. • Strategy 2: A profit of $2, 000 with a probability of 0.40, a profit of $500 with a probability of 0.30 and a loss of $1, 000 with a probability of 0.30. • Strategy 3: A certain profit of $400. (a) Which strategy has the highest expected profit? (b) If the city manager is going to pick only 1 strategy, which of the three strategies would you definitely advise against? Provide specific (numeric) details to support your answer.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
A city manager is considering three strategies for a $1,000 investment. The probable returns are
estimated as follows:
• Strategy 1: A profit of $5, 000 with a
0.80.
• Strategy 2: A profit of $2, 000 with a probability of 0.40, a profit of $500 with a probability of
0.30 and a loss of $1, 000 with a probability of 0.30.
• Strategy 3: A certain profit of $400.
(a) Which strategy has the highest expected profit?
(b) If the city manager is going to pick only 1 strategy, which of the three strategies would you
definitely advise against? Provide specific (numeric) details to support your answer.
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